Results 31 to 40 of about 10,684,153 (270)
Sharp bounds for a ratio of the q-gamma function in terms of the q-digamma function
Journal of Inequalities and Applications, 2021 In the present paper, we introduce sharp upper and lower bounds to the ratio of two q-gamma functions Γ q ( x + 1 ) / Γ q ( x + s ) ${\Gamma }_{q}(x+1)/{\Gamma }_{q}(x+s)$ for all real number s and 0 < q ≠ 1 $0< q\neq1$ in terms of the q-digamma function.
Faris Alzahrani +2 more
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Dose-Response, 2023 We had previously demonstrated on various stable cell cultures exposed to chemically different nanoparticles when assessing their cytotoxicity by different outcomes, dose-response relationships may be either monotonic or non-monotonic falling within an ...
Tatiana V. Bushueva +7 more
doaj +1 more source
Some completely monotonic functions involving the polygamma functions
Journal of Inequalities and Applications, 2019 Motivated by existing results, we present some completely monotonic functions involving the polygamma functions.
Peng Gao
doaj +1 more source
On testing exponentiality under Type-I censoring
Frontiers in Applied Mathematics and Statistics, 2023 Two new goodness-of-fit testing procedures are introduced to test exponentiality when data are subject to Type-I censoring. We proposed four test statistics for this purpose.
Reza Pakyari, Omama M. Al-Hamed
doaj +1 more source
On rational bounds for the gamma function
Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequality x 2 + p 0 x + p 0 < Γ ( x + 1 ) < x 2 + 9 / 5 x + 9 / 5 $$ \frac{x^{2}+p_{0}}{x+p_{0}}< \Gamma(x+1)< \frac{x^{2}+9/5}{x+9/5} $$ holds for all x ∈ ( 0 , 1 ) $x\in(0, 1)$ , we present the best possible ...
Zhen-Hang Yang +3 more
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Two Approximation Formulas for Bateman’s G-Function with Bounded Monotonic Errors
Mathematics, 2022 Two new approximation formulas for Bateman’s G-function are presented with strictly monotonic error functions and we deduced their sharp bounds. We also studied the completely monotonic (CM) degrees of two functions involving G(r), deducing two of its ...
Mansour Mahmoud, Hanan Almuashi
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COMPLETELY MONOTONIC FUNCTION ASSOCIATED WITH THE GAMMA FUNCTIONS AND PROOF OF WALLIS' INEQUALITY
, 2005 . We prove: (i) A logarithmically completely monotonic function is completely mono-tonic. (ii) For x > 0 and n = 0,1,2,..., then(−1) n ln p xΓ(x)x + 1/4Γ(x + 1/2) ! (n) > 0.(iii) For all natural numbers n, then p 1 π(n + 4/π − 1)≤(2n − 1)!!(2n)!!< p 1π(n
Chao Chen, Feng Qi (祁锋)
semanticscholar +1 more source
Age‐Related Characteristics of SYT1‐Associated Neurodevelopmental Disorder
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives We describe the clinical manifestations and developmental abilities of individuals with SYT1‐associated neurodevelopmental disorder (Baker‐Gordon syndrome) from infancy to adulthood. We further describe the neuroradiological and electrophysiological characteristics of the condition at different ages, and explore the associations ...
Sam G. Norwitz +3 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective This study aimed to determine if program format (in‐person, virtual, or hybrid) results in differences in 3‐month outcomes of pain, function, quality of life, self‐efficacy, and chair stands in a hip/knee osteoarthritis‐management program. Methods A secondary analysis of the Good Life with osteoArthritis in Denmark (GLA:D) Canada database was
Jill Van Damme +7 more
wiley +1 more source
HcLSH: A Novel Non-Linear Monotonic Activation Function for Deep Learning Methods
IEEE Access, 2023 Activation functions are essential components in any neural network model; they play a crucial role in determining the network’s expressive power through their introduced non-linearity.
Heba Abdel-Nabi +3 more
doaj +1 more source